Dynamics in a neigborhood of separatrices of an area-preserving map

  • Dmitry Treschev
Dynamics And Chaos
Part of the Lecture Notes in Physics book series (LNP, volume 511)


We discuss the global structure of the separatrix branches in a two-dimensional area-preserving map and present some formulas estimating the width of stochastic layers, provided the map is near-integrable. The concept of the separatrix map is also discussed.


Invariant Curve Separatrix Branch Homoclinic Point Stochastic Layer Hyperbolic Periodic Point 
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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Dmitry Treschev
    • 1
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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